Triangles: the Ambiguous Case

The Directions said: two triangles can be formed using the given measurements. Solve both triangles.

A= 60 degrees, side a = 12, side b = 13

I drew the triangle, found all sides and angles, but i dont get how "two triangles can be formed" (i cant visualize it, because i dont know how to draw it with 2 triangles?)

A question like this, where you are given two sides of a triangle and the non-included angle, and two triangles are possible, is called the Ambiguous Case. The attached diagram shows how you can draw the two triangles with the measurements you were given.

You've probably found the one where is acute (that's in my diagram). But there's also a possibility that is obtuse (like ). Since is isosceles, you can probably see why .